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Finding the Fourth Proportional to 5,240.40, 7,854.12 and 3,153.84

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Solution

The fourth proportional to 5,240.40, 7,854.12 and 3,153.84 is: 4,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.40 : 7,854.12 = 3,153.84 : x
  2. Step 2: Convert to fraction form
    5,240.40/7,854.12 = 3,153.84/x
  3. Step 3: Cross multiply
    5,240.40x = 7,854.12 × 3,153.84
  4. Step 4: Simplify right side
    5,240.40x = 24,770,637.82
  5. Step 5: Solve for x
    x = 24,770,637.82/5,240.40
  6. Step 6: Final answer
    x = 4,726.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.